Question

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

l. x² – 2x – 15 = 0

II. y² + 15y + 54 = 0

1. x > y
2. x ≤ y
3.  No relation in x and y or x = y
4. x ≥ y
5. x < y 

Answer 1

Correct Answer - Option 1 : x > y

Calculation:

l. x2 – 2x – 15 = 0

⇒ x² – (5 – 3)x – 15 = 0

⇒ x² – 5x + 3x – 15 = 0

⇒ x(x – 5) + 3(x – 5) = 0

⇒ (x + 3) (x – 5) = 0

⇒ x = 5, -3

II. y² + 15y + 54 = 0

⇒ y² + (9 + 6)y + 54 = 0

⇒ y² + 9y + 6y + 54 = 0

⇒ y(y + 9) + 6(y + 9) = 0

⇒ (y + 6) (y + 9) = 0

⇒ y = -6, -9

Value of x	Value of y	Relation between x and y
5	-6	x > y
5	-9	x > y
-3	-6	x > y
-3	-9	x > y

 

∴ x > y